We provide linear equations in one variable practice exercises, instructions, and a learning material that allows learners to study outside of the classroom. We focus on linear equations in one variable skills mastery so, below you will get all questions that are also asking in the competition exam beside that classroom.

#### List of linear equations in one variable Questions

Question No | Questions | Class |
---|---|---|

1 | If ( frac{3 x+7}{5}=11, ) then ( x ) is equal to A . 16 B . 15 c. -16 D. -15 | 8 |

2 | Find ( times ? ) ( 2 x+3=7 ) | 8 |

3 | 16. 16. Solve the equation : 24-1 6x-2 Solve the equation : – 2x-1 6x-2 3 5 3 | 8 |

4 | Solve the following equation ( 7 y=77 ) | 8 |

5 | ( A ) and ( B ) have 460 coins altogether. If ( frac{3}{4} ) of ( A^{prime} ) s number of coins is equal to ( frac{2}{5} ) of B’s number of coins, find how many coins must ( B ) give to ( A, ) so that they both have equal number of coins. A . 50 B. 70 c. 20 D. 90 | 8 |

6 | The numerator of a fraction is 5 less than its denominator. If 3 is added to the numerator and denominator both, the fraction becomes ( frac{4}{5} . ) Find the original fraction. A ( cdot frac{1}{22} ) в. ( frac{17}{22} ) c. ( frac{17}{2} ) D. ( frac{7}{22} ) | 8 |

7 | Solve linear equation: ( frac{n}{2}-frac{3 n}{4}+frac{5 n}{6}=21 ) | 8 |

8 | DOUTONUL SIVUT Cyudulull. 6. The sum of two numbers, one of which Sol. Let one of the number = r. imes the other, is 50. Find two numbers. | 8 |

9 | If ( 2(a-8 times 5)-2 times 7=3 times 1 times a+ ) ( mathbf{7} times mathbf{4}-(mathbf{8} times mathbf{1} times mathbf{a}-mathbf{1}), ) find ( boldsymbol{a} ) A ( cdot frac{123}{8} ) B. ( frac{123}{7} ) c. ( frac{8}{123} ) D. ( frac{7}{123} ) | 8 |

10 | Three binders and four notebooks cost a total if ( $ 4.32 . ) One binder and five note- books cost ( $ 3.97 . ) What is the cost of one notebook? A . 0.50 B. 0.69 c. 0.72 D. 0.79 | 8 |

11 | If ( frac{x+3}{3}-frac{x-2}{2}=1, ) then find ( p, x+ ) ( 3-(p+2)=5 ) | 8 |

12 | Given that ( -6 x=64-2(-x) ) calculate the value of ( x ) A . -8 B. -4 ( c cdot 6 ) D. 16 | 8 |

13 | Solve ( frac{mathbf{7}}{mathbf{4}}-boldsymbol{p}=mathbf{1 1} ) | 8 |

14 | The length of a rectangle is twice its width. If its perimeter is ( 54 mathrm{cm}, ) find its length. ( mathbf{A} cdot 18 mathrm{cm} ) B. ( 10 mathrm{cm} ) ( mathrm{c} cdot 19 mathrm{cm} ) D. ( 15 mathrm{cm} ) | 8 |

15 | itics 11. Linear Equations in One Variable 8. A number consists of two digits. The digit at ten’s place is two times the digit at the unit’s place. The number formed by reversing the digits, is 27 less than the original number. Find the original number. 209 . inen te norte such that half of oneport is 1 | 8 |

16 | Solve ( boldsymbol{x}=frac{mathbf{4}}{mathbf{5}}(boldsymbol{x}+mathbf{1 0}) ) | 8 |

17 | Two-third of a number is greater than one-third of the number by 3. Find the number | 8 |

18 | If the solution of these equations. ( x-12=2 frac{2}{5} ) | 8 |

19 | Sumeet thinks of a number and adds ( mathbf{4 0} ) ( frac{40}{3} ) to it. He then multiplies the result by 3. The result now obtained is 8 times the same number he thought of, what is the number? A . 5 B. 6 c. 8 D. 7 | 8 |

20 | 7. A number is such that it is as much greater than 112 as it is less is than it. Find the number. | 8 |

21 | If ( frac{5}{8} x+frac{2}{3}=frac{7}{12}, ) then ( frac{1}{2} x= ) A ( cdot frac{-1}{15} ) B. ( frac{-2}{15} ) c. D. | 8 |

22 | tiei denomulaULUI UUU UUU 13 19 5. On simplifing ( *)6*) weget . Find the 3 21 – X- 7 15 On simplifying value of k. et Find the | 8 |

23 | Solve the equation: ( frac{2 x}{3}=18 ) | 8 |

24 | 10. Given that -0.3k + 2.1 = 0.4k, the value of k = ? | 8 |

25 | Solve ( 6 x+1=3(x-1)+7 ) for the value of ( x ) | 8 |

26 | 55. The sum of the ages of two brothers, having a difference of 8 years between them, will double after 10 years. What is the ratio of the age of the younger brother to that of the elder brother? (1) 10: 13 (2) 7:11 (3) 3:7 (4) 8:9 | 8 |

27 | Benny thinks of a number subtracts 18 from it and divides the difference by 3 The result is ( -4 . ) What is the number | 8 |

28 | If you subtract ( frac{1}{2} ) from a number and multiply the result by ( frac{1}{2}, ) you get ( frac{1}{8} ) What is the number? A ( cdot frac{3}{4} ) B. ( frac{1}{6} ) ( c cdot frac{7}{4} ) D. ( frac{3}{5} ) | 8 |

29 | What should be added to ( 4 frac{8}{15} ) to get ( 9 frac{2}{5} ) ( ? ) | 8 |

30 | The sum of the digits of a two digit number is ( 7 . ) If the digits are reversed, the new number decreased by 2 , equals twice the original number. Find the number. A . 25 B . 28 c. 43 D. 32 | 8 |

31 | 9. Divide 300 into two parts so that half of one part may be less than the other by 48. Sol I et one part of 300 beso other part will he (300- | 8 |

32 | The value of ( frac{1}{4} x-5(q-x) ) ( -frac{3}{2}left(frac{1}{3}left(q-frac{x}{3}right)-frac{2}{9}left[x-frac{3}{4}left(q-frac{4 x}{5}right)right]right) ) is A ( cdot frac{9 x}{5}+frac{q}{2} ) в. ( frac{9 x}{4}-frac{q}{2} ) c. ( frac{9 x}{5}-frac{q}{2} ) D. ( frac{11 x}{5}+2 q ) | 8 |

33 | A person bought a certain number of books for ( R s .80 . ) If he had bought 4 more books for the same sum, each book would have cost ( R e .1 ) less. What is the price of each book? A . ( R s .10 ) в. Rs. c. ( R s . ) D. Rs. | 8 |

34 | One integer is two more than a second integer. The first integer added to four times the second is equal to ( 17 . ) Find the values of the two integers. A .2 and 4 B. 3 and 5 c. 4 and 6 D. 1 and 3 | 8 |

35 | In the figure given, the measure in degrees of ( angle A B C ) is ( 72^{circ} . ) Find the value of ( boldsymbol{x} ) ( mathbf{A} cdot 18^{circ} ) B. ( 24^{circ} ) ( c cdot 27^{circ} ) ( mathbf{D} cdot 30^{circ} ) | 8 |

36 | A number decreased by 30 is the same as 14 decreased by 3 times the number. Find the number. A . 11 B. 9 c. 8 D. 12 | 8 |

37 | If you multiply a number by 3 and then add ( 40, ) the result is the same as if you first add 17 and then multiply by 2 What is the result if you subtract 9 from the number and then multiply by ( 4 ? ) A. -60 B. -72 c. -84 D . -108 | 8 |

38 | An aircraft pilot flies it at a distance of ( 800 k m ) with some average speed. He could have saved 40 minutes by increasing the average speed of the aircraft by ( 40 k m / h . ) Find actual speed of the aircraft. | 8 |

39 | ( {3 x-2 leq 10 text { and } x ) belongs to natural numbers Find the range of ( x ) | 8 |

40 | There is a number, the second digit of which is smaller than its first digit by 4 and if the number was divided by the digits sum, the quotient would be ( 7 . ) Can you find the number? A . 64 B. 46 c. 48 D. 33 E. 84 | 8 |

41 | Solution of the linear equation ( 3 x+ ) ( 0 y+7=0 ) in two variables is of the form A ( cdotleft(frac{-7}{3}, mright) ) в. ( left(n, frac{-7}{3}right) ) c. ( left(0, frac{-7}{3}right) ) D. (-7,0) | 8 |

42 | 1. When a number is divided by 9, it is diminished by 56. Then, the number is 47. | 8 |

43 | Solve : ( frac{boldsymbol{x}+mathbf{2}}{mathbf{9}}=frac{boldsymbol{x}+mathbf{4}}{mathbf{1 1}} ) | 8 |

44 | Simplify ( frac{2 x+7}{5}-frac{3 x-11}{2}=frac{2 x+8}{3}-5 ) | 8 |

45 | Solve the following: ( frac{4}{5}left(x+frac{5}{6}right)+frac{2}{3}left(x-frac{1}{4}right)=1 frac{1}{9} ) A ( cdot frac{9}{14} ) в. ( frac{5}{12} ) ( c cdot frac{3}{11} ) D. ( frac{7}{11} ) | 8 |

46 | ( frac{1}{10} ) of a rod is coloured red, ( frac{1}{20} ) orange ( frac{1}{30} ) yellow, ( frac{1}{40} ) green, ( frac{1}{50} ) blue, ( frac{1}{60} ) black and the rest are violet. If the lenght of the violet portion is ( 12.08 mathrm{m} ), then what is the lenght of the rod? A. 16 m B. 18 m c. ( 20 mathrm{m} ) D. 30 | 8 |

47 | ( 37-(3 x+5) geq 9 x-8(x-3) ) | 8 |

48 | Solve ( mathbf{7}(boldsymbol{x}-mathbf{2})=mathbf{4 9} ) | 8 |

49 | A bird flies 1 kilometer in one minute. Can you express the distance covered by the bird in terms of its flying time in minutes? [use ( t ) for flying time in minutes | 8 |

50 | Four fifth of a number is 4 more than three fourth of the number. Find the number. | 8 |

51 | If Leah is 6 years older than Sue and John is 5 years older than Leah and the total of their ages is ( 41 . ) Then how old is Sue? A . 8 B. 10 c. 14 D. 19 E . 21 | 8 |

52 | The numerator of the rational number is less than its denominator by 3 . If the numerator becomes three times and the denominator is increased by ( 20, ) the new number becomes ( frac{1}{8} . ) Find the original number. | 8 |

53 | If ( a=b, ) then ( a+x= ) ( mathbf{A} cdot a+x ) B. ( b x ) c. ( b-x ) D. ( b+x ) | 8 |

54 | Solve the following: ( frac{3 x}{4}-frac{1}{4}(x-20)=frac{x}{4}+32 ) A .112 в. 126 ( c .108 ) D. 102 | 8 |

55 | 5. Three numbers are in the ratio 1:2:3 and their sum is 120. Find the numbers. | 8 |

56 | Find the root of ( 2 x+frac{x}{2}=20 ) | 8 |

57 | Evaluate: ( (x-2)+(x-3)+(x-9)=0 ) | 8 |

58 | Solve ( : 2 x=100 ) | 8 |

59 | Check wheather the equality of the equation in maintained or not, by putting the value of the given variable written next to the equation below. ( boldsymbol{x}+mathbf{4}=mathbf{1 7} ) if ( boldsymbol{x}=mathbf{2} ) A. True B. False | 8 |

60 | 3t-22t+32 43 | 8 |

61 | Solve: ( frac{7}{10}-x=frac{3}{5} ) | 8 |

62 | A man engaged a servant on the condition that he would pay him Rs. 90 and a turban after a service of one year. He served only for nine months and received the turban and Rs. ( 65 . ) The price of the turban is: A . Rs. 25 B. Rs. 18.75 c. Rs. 10 D. Rs. 2.50 | 8 |

63 | If the angles of a triangle are in the ratio 2:3:4, then find the difference between the greatest and smallest angles | 8 |

64 | In solving an equation of the form ( a x+ ) ( b=0 ) (a,b having only 1 as the common factor ( ), A ) made a mistake in copying ( b ) and ( operatorname{got} frac{7}{3} ) as the root whereas ( B ) made a mistake in copying ( a ) and ( operatorname{got} frac{8}{5} ) as the root. The correct root is ( A cdot frac{7}{5} ) B. ( frac{3}{8} ) ( c cdot frac{8}{3} ) D. ( frac{8}{5} ) | 8 |

65 | Solve the following equations and verify your answers: ( frac{2-y}{y+7}=frac{3}{5} ) | 8 |

66 | Sudhir’s present age is 5 more than three times the age of Viru, Anil’s age is half the age of Sudhir. If the ratio of the sum of Sudhir’s and Viru’s age to three times Anil’s age is ( 5: 6, ) then find Viru’s age | 8 |

67 | Solve:8 ( boldsymbol{x}+mathbf{5}>mathbf{1 3} ) | 8 |

68 | Solve ( 8 t+5=2 t-31 ) for the value of ( t ) | 8 |

69 | Four fifth of a number is more than three-fourth of the same number by 40 Find the number. | 8 |

70 | Find the value of ( x ) : ( frac{boldsymbol{x}-mathbf{5}}{mathbf{2}}-frac{boldsymbol{x}-mathbf{3}}{mathbf{5}}=frac{mathbf{1}}{mathbf{2}} ) | 8 |

71 | The number ( x ) was multiplied by 0.5 and the product divided by ( 3 . ) The result was squared and 1 added to it. The final result was ( 50 . ) What was the value of number ( boldsymbol{x} ) ? A .42 B. 30 ( c cdot 24 ) D. 18 | 8 |

72 | Find the solution of ( 2 x-3>7 ) | 8 |

73 | Solve the following equations. ( 4 x-3=2 x+1 ) | 8 |

74 | A rational number is such that when you multiply it with ( frac{5}{2} ) and add ( frac{2}{3} ) to the product, you get ( -frac{7}{12} . ) What is the number? A ( cdot-frac{4}{3} ) в. ( -frac{1}{2} ) ( c cdot frac{4}{3} ) D. ( -frac{5}{3} ) | 8 |

75 | s. 6.5x+1958–32,5 = 6.5x+13+(13×720) 19.5x -32.5 (13x – 26 -= 6.5x +13+ 5. 6.5x+ | 8 |

76 | Solve the equation. ( frac{3}{2 x}+frac{1}{x+1}=0 ) | 8 |

77 | Solve the equation: ( mathbf{7} boldsymbol{x}-mathbf{9}=mathbf{1} 6 ) | 8 |

78 | Find 4 consecutive even numbers whose sum is 356 | 8 |

79 | 8x 17 5x 6. x+7-7-7-7 | 8 |

80 | Solve the following: ( frac{2 x-3}{2 x-1}=frac{3 x-1}{3 x+5} ) A ( cdot 1 frac{2}{3} ) в. ( 5 frac{2}{3} ) ( c cdot_{7} frac{2}{3} ) D. ( 2 frac{2}{3} ) | 8 |

81 | If ( boldsymbol{x}=boldsymbol{2} boldsymbol{p}, ) then find the value of ( boldsymbol{p} ) from the equation ( : 2(3 p+3)-frac{2}{5}(3+ ) ( 4 x)=frac{9}{2} ) | 8 |

82 | 11. Form equations and solve the following statements: (1) Thrice a number equals 60. What is the number? (ii) 60 subtracted from a number gives 52. What is the number? (ii) Two numbers are in the ratio 5:8. If their sum is 130. then find the numbers. | 8 |

83 | The perimeter of a rectangular field is ( frac{3}{5} ) km. If the length of the field is twice its width then find the area of the rectangle ( operatorname{in} m^{2} ) | 8 |

84 | f ( frac{14}{3}+left(frac{1}{2}right)left(x-frac{7}{3}right)=-frac{2 x}{3}, ) then the value of ( x ) is: A . -3 B. 3 ( c cdot 6 ) D. – 6 | 8 |

85 | Divide 1000 into 2 parts such that 10 ( % ) of one part equals ( 20 % ) of the other Find the bigger part. A ( cdot frac{2000}{3} ) в. ( frac{1000}{3} ) c. ( frac{150}{3} ) D. None of the above | 8 |

86 | Solve the following: ( frac{x-8}{5}=frac{x-12}{9} ) ( mathbf{A} cdot mathbf{0} ) B. ( c cdot 2 ) D. 3 | 8 |

87 | If ( p ) is added to ( -5, ) the result is ( 7 . ) Hence ( mathbf{3} boldsymbol{p}= ) ( A cdot 6 ) B . 18 ( c .36 ) D. 4 | 8 |

88 | 11. Two trains, one travelling 15 km/hr faster than the other, leave the same station at the same time, one travelling east and the other west. At the end of 6 hours they are 570 km apart. What is the speed of each train? | 8 |

89 | Solve for ( x ) in ( frac{2-(3 x-8)}{5-(4 x-9)}=frac{1}{2} ) | 8 |

90 | Solve: ( 2-frac{7 x}{29}<frac{5}{3} ) | 8 |

91 | Solve: ( frac{91}{9}+2 a frac{13}{3}=169 ) | 8 |

92 | This month, Kami sold 70 figurines in 2 sizes. The large figurines sold for ( $ 12 ) each, and the small figurines sold for ( $ ) 8 each. The amount of money he received from the sales of the large figurines was equal to the amount of money he received from the sales of the small figurines. How many large figurines did Kami sell this month? A .20 B . 28 ( c .35 ) D. 42 | 8 |

93 | 3. If x +a=b, then x = | 8 |

94 | If ( frac{50}{x}+3=13,50 x+3=13, ) then the value of ( x ) is ( A cdot 2 ) B. 4 c. 5 D. | 8 |

95 | Solve the following equations: ( frac{x}{2}-frac{1}{4}=frac{x}{3}+frac{1}{2} ) | 8 |

96 | A man left one-fourth of his money to his wife, two fifth to his son and donated balance amount of 210000 to a charitable fund. How much money did he have? How much money was received by his wife and son separately? 14 Three numbers are in the rain 1.0.0 | 8 |

97 | Solve: ( frac{3 a-2}{7}-frac{a-2}{4}=2 ) | 8 |

98 | UUUUUUU 15. (1) Seven times a number is 49. What is the number? (ii) One and halftimes of a number is 300, find the number | 8 |

99 | Solve: ( frac{20 x}{3}=40 ) | 8 |

100 | Give first the step you will use to separate the variable and then solve the equations ( frac{3 p}{10}=6 ) | 8 |

101 | Solve ( n=frac{3 n}{5}-1+frac{3 n}{5}-2 ) | 8 |

102 | A man can row ( 9 frac{1}{3} k m p h ) in still water and finds that it takes him thrice as much time to row up then as to row down the same distance in the river. Find the speed of the current. | 8 |

103 | If ( frac{x-1}{3}=k ) and ( k=3, ) what is the value of ( x ? ) ( A cdot 2 ) B. 4 c. 9 D. 10 | 8 |

104 | Solve: ( 5(4 x+1)-2-(5 x+3)=15 ) | 8 |

105 | Find ( x ) [ frac{mathbf{5} boldsymbol{x}-mathbf{4}}{mathbf{6}}=mathbf{4} boldsymbol{x}+mathbf{1}-frac{mathbf{3} boldsymbol{x}+mathbf{1 0}}{mathbf{2}} ] | 8 |

106 | Find the value of ( x: ) ( boldsymbol{x}^{2}+boldsymbol{p}^{2}=(boldsymbol{q}-boldsymbol{x})^{2} ) ( ^{mathbf{A}} cdot frac{q^{2}-p^{2}}{2 q} ) в. ( frac{q^{2}-p^{2}}{2} ) ( ^{mathrm{C}} cdot frac{q^{2}-p^{2}}{2 p} ) D. ( frac{p^{2}-q^{2}}{2 p} ) | 8 |

107 | ff ( 5(1-2 x)=15 ; ) evaluate ( x^{2}-3 x+ ) 2 ( A cdot 1 ) B. 4 ( c .3 ) D. 6 | 8 |

108 | ( 6 x-1=2 x+9 ) value of ( x ) A ( cdot 1 frac{1}{2} ) в. ( -2 frac{1}{2} ) c. ( frac{4}{10} ) D. ( _{2} frac{1}{2} ) | 8 |

109 | 2. The number which is subtracted from to get is 200 91 | 8 |

110 | For what value of ( x ) is ( frac{3 x+7}{5}=11 ) true? A . -19 B. -16 c. 16 D. 19 | 8 |

111 | Hence, speed of boat in still water = 31.5 km/hr. 13. The sum of two numbers is 2490. If 6.5% of one number is equal to 8.5% of the other, find the numbers. Sol. Let the first number be x. And, Second number = 2490-X | 8 |

112 | f ( boldsymbol{x} times mathbf{1 6}=mathbf{2 5 6}, ) what is ( boldsymbol{x}=mathbf{?} ) | 8 |

113 | Distance between two stations And B is 690 km Two cars start simultaneously from A and B towards each other, and the distance between them after 6 hours is 30 km. If the speed of one car is less than the other by 10 km hr find the speed of each car. | 8 |

114 | The sum of three consecutive odd numbers is ( 57 . ) Find the numbers. A. 17,19 and 21 B. 19,15 and 25 c. 13,17 and 26 D. 21,13 and 29 | 8 |

115 | The length of a rectangle is ( 4 mathrm{cm} ) more than the breadth, and the perimeter is ( 11 mathrm{cm} ) more than the breadth. Find the length and breadth of the rectangle. A. ( l=1, b=7 mathrm{cm} ) В. ( l=6, b=3 mathrm{cm} ) c. ( l=7, b=8 mathrm{cm} ) | 8 |

116 | Solve: ( frac{x+2}{6}-left(frac{11-x}{3}-frac{1}{4}right)=frac{3 x-4}{12} ) | 8 |

117 | 3x +1 5. 6.x-7 Solve for x: 2x +1 +5 | 8 |

118 | If –X=-, then x= 2′ | 8 |

119 | Solve for ( boldsymbol{x}: boldsymbol{3} boldsymbol{x}=frac{boldsymbol{2} mathbf{0}}{mathbf{7}}-boldsymbol{x} ) A ( cdot frac{2}{7} ) B. ( c cdot frac{4}{7} ) D. | 8 |

120 | If ( frac{x}{2}-frac{x}{3}=frac{x}{4}+frac{1}{2}, ) then the value of ( x ) is ( A cdot 6 ) B . 24 ( c .-6 ) ( D ) | 8 |

121 | Solve the following equation using systematic method: ( boldsymbol{x}+mathbf{7}=mathbf{1 8} ) | 8 |

122 | 10. .. wel par = 300-108 = 132 Saurabh has 34 in the form of fifty paise and twenty-five paise coins. If the of 50-paise coins, how many coins of each kind does he have? coins. If the number of 25 paise coins be twice the num Sol Let the number | 8 |

123 | The sum of the digits of a two digit number is 14. When we interchange the digits, it is found that the resulting new number is smaller than the original number by ( 18 . ) What is the original two digit number? ( mathbf{A} cdot 86 ) B. 68 c. 84 D. 48 | 8 |

124 | 5. If x= 5, then find the value of x + – 1 1+- 1+ | 8 |

125 | A number subtracted by 30 gives 14 subtracted by 3 times the number. Find the number | 8 |

126 | A steamer goes downstream from one point to another in 7 hours. It covers the same distance upstream in 8 hours. If the speed of stream be 2 km/hr, find the speed of the steamer in still water and the distance between the ports. | 8 |

127 | If ( boldsymbol{x}+frac{mathbf{1}}{boldsymbol{x}}=boldsymbol{a}+boldsymbol{b} ) and ( boldsymbol{x}-frac{mathbf{1}}{boldsymbol{x}}=boldsymbol{a}-boldsymbol{b} ) then, which of the following is correct? ( mathbf{A} cdot a b=1 ) B. ( a b=2 ) ( mathbf{c} cdot a+b=0 ) ( mathbf{D} cdot a=b ) | 8 |

128 | 5. An equation altered if we multiply or divide both sides of the equation by the same non-zero number. | 8 |

129 | Solve and verify the result: ( 4 x+7=15 ) | 8 |

130 | Solve ( frac{mathbf{6 x}+mathbf{1}}{mathbf{3}}+mathbf{1}=frac{boldsymbol{x}-mathbf{3}}{mathbf{6}} ) | 8 |

131 | When 19 is subtracted from the product of ( p ) and ( 4, ) the result is 17 Then, the value of ( p ) is A ( cdot frac{-1}{9} ) B. ( frac{1}{9} ) ( c .-9 ) D. | 8 |

132 | 4. If=b, then x = then x = | 8 |

133 | What is the value of ( a ) in terms ( b, ) if ( frac{a}{b}+ ) ( frac{a+2}{3 b}=frac{1}{4} ? ) A. ( frac{b+4}{2} ) в. ( frac{b-4}{2} ) c. ( frac{3 b-2}{4} ) D. ( frac{3 b+8}{16} ) E ( cdot frac{3 b-8}{16} ) | 8 |

134 | Andy is 27 years older than Ted, who is 38 years younger than Amy. In how many years will Andy be the same age as Amy is now? A . 11 B. 12 c. 13 D. 10 | 8 |

135 | A number is 27 more than the number obtained by reversing its digits. If its units and tens digits are ( x ) and ( y ) respectively, write the linear equation representing the above statement | 8 |

136 | 1. Solve: 0.16(5x-2)=0.4x +7 | 8 |

137 | 3. 1-(x-2)-[(x – 3)-(x – 1)]=0 | 8 |

138 | ( -7 p-4(-3 p+2)= ) A. ( -19 p+8 ) B. ( 5 p+8 ) ( mathbf{c} cdot-19 p-8 ) D. ( 5 p-8 ) | 8 |

139 | 3 years ago, the average age of a family of 5 members was 17 years. ( A ) baby having been born, the average age of the family is same today. The present age of the baby is A. 3 years B. 2 years c. ( 1 frac{1}{2} ) years D. 1 years | 8 |

140 | Solve: ( 8 x+frac{21}{4}=3 x+7 ) A ( cdot frac{2}{9} ) B. ( frac{7}{20} ) c. ( frac{6}{17} ) D. ( frac{4}{21} ) | 8 |

141 | Solve: ( frac{2 x+7}{5}-frac{3 x+11}{2}=frac{2 x+8}{3}-5 ) | 8 |

142 | Mathematics 12. Write the equations for the following statements: () A number increased by 34 gives 86. (i) Twice a number equals 20. (ii) Halfof a number is 16. (iv) Five times Romi’s age equals 100 years. (v) Eight times a number added to 2 gives 60. | 8 |

143 | For each graph given below, four linear equations are given. Out of these find the equation that represents the given graph.Equations are A) ( y=x ) B) ( boldsymbol{x}+boldsymbol{y}=mathbf{0} ) C) ( y=2 x ) D) ( 2+3 y=7 x ) | 8 |

144 | Solve the linear equation: ( 3 x+13=52 ) | 8 |

145 | The base of an isosceles triangle is ( frac{4}{3} ) ( mathrm{cm} . ) The perimeter of the triangle is 62 ( frac{a}{15} mathrm{cm} . ) What is the length of either of remaining equal sides? | 8 |

146 | Solve linear equation: ( frac{x-5}{3}=frac{x-3}{5} ) | 8 |

147 | Solve ( : mathbf{5}-frac{mathbf{2} mathbf{d}+mathbf{7}}{mathbf{9}}=mathbf{0} ) A . 19 B. 14 ( c .9 ) D. | 8 |

148 | 51. A train running at an average speed of 48 km/hr performs a journey in 6 hours 30 minutes How long would the same jour- ney take it after crossing 180 kms, the speed was reduced to 33 km/hr? (1) 7 hours 45 minutes (2) 4 hours (3) 3 hours (4) 6 hours 45 minutes | 8 |

149 | Solve: ( frac{x}{x+1}=frac{2}{3} ) | 8 |

150 | Find the value of ( boldsymbol{x}: frac{mathbf{4}}{mathbf{5}} boldsymbol{x}+mathbf{1 1}=frac{mathbf{1}}{mathbf{1 5}} ) | 8 |

151 | The sum of two numbers is 45 and their ratio is ( 7: 8 . ) Find the numbers. | 8 |

152 | The product of two rational numbers is – 7. If one of the number us -10, find the other. | 8 |

153 | Check whether ( frac{1}{4} ) is a solution of the equation ( 3(x+1)-3(5-x)=2(5+x) ) | 8 |

154 | Solve: ( left(1+frac{1}{x+1}right)left(1+frac{1}{x-1}right)=frac{7}{8} ) | 8 |

155 | 6. 3. A boat covers a certain distance downstream in 3 hours, and it covers the same distance upstream in 5 hours. If the speed of the boat in still water is 8 km/hr, then the speed of the stream is (a) 1 km/hr (b) 1.5 km/hr (c) 2 km/hr (d) 3 km/hr | 8 |

156 | Solve the following equation ( mathbf{2}(mathbf{2} boldsymbol{x}+mathbf{4})-mathbf{3}(boldsymbol{x}-mathbf{1})=mathbf{1 1} ) | 8 |

157 | The product of two number is — If one of the number 35 find the other. (6) (c) 75 (d) who | 8 |

158 | 28 8. The product of two numbers is – . If one of the numbers , then the other number is _ Nlur wIT | 8 |

159 | Solve: ( frac{3 x+5}{2 x+7}=5 ) | 8 |

160 | Find the solution set of ( frac{3}{5} x-frac{2 x-1}{3}> ) 1 | 8 |

161 | Three collinear points ( A, B ) and ( C ) ares such that point ( B ) is between points ( A ) and ( C . ) The distance from ( A ) to ( B ) is 8 more than 4 times the distance from ( B ) to ( C ) and the distance from ( A ) to ( C ) is 5 times the distance from ( B ) to ( C . ) What is the distance from ( boldsymbol{A} ) to ( boldsymbol{C} ) ? A .4 B . 20 c. 16 D. 24 | 8 |

162 | solve ( mathbf{3} boldsymbol{x}=mathbf{3} mathbf{3} mathbf{6}+mathbf{2} mathbf{4} mathbf{3} ) | 8 |

163 | Solve each of the following equations and also verify your solution: ( frac{7}{x}+35=frac{1}{10} ) | 8 |

164 | Litlal isur SUV NE BE IN un equation is called 3. 2x+1 Find the solution of 37-1 | 8 |

165 | Solve the following equation: If ( 14 y- ) ( 8=13 ) and ( y=frac{3}{q}, ) then ( q ) is A . 3 B. ( c cdot 2 ) D. | 8 |

166 | Set up equations and solve them to find the unknown numbers in the following cases: lbenhal thinks of a number. If she adds 19 to it divides the sum by 5, she will get 8 | 8 |

167 | A man’s age is six times the age of his son. In six years, the father’s age will be three times of the son’s age. The age of the father and the son are respectively: A. 18 years and 3 years B. 30 years and 5 years c. 24 years and 4 years D. 42 years and 7 years | 8 |

168 | 10. The sum of three consecutive multiples of 11 is 363. Find these multiples. | 8 |

169 | 3 3 5. 3m= 5m – 17 | 8 |

170 | Ashok went to a casino to play a card game. In each round, he happened to double the amount with himself and in each round he gave Rs. ( x ) to his friend. At the end of three rounds, he was left with no money. If the amount he gave to his friend in each round was Rs. 20 more than the amount he started with, find the amount (in Rs.) that he started with A. 110 в. 120 ( c .130 ) D. 140 | 8 |

171 | Check whether the value given in the brackets is a solution to the given equation or not: ( boldsymbol{n}+mathbf{5}=mathbf{1 9} quad(boldsymbol{n}=mathbf{1}) ) | 8 |

172 | 3t-2 2t+3 + -=tt | 8 |

173 | Solve: ( 14 y-8=13 ) A . 1.9 в. 1.5 c. ( 1 . ) D. 1.6 | 8 |

174 | 7. The The volume of water in a tank is twice of that in the other. I we draw out 25 litres from the first and add it to the other, the volumes of the water in each tank will be the same. Find the volume of water in each tank. | 8 |

175 | The difference between the ages of a woman and her son is 19 years and the sum of their ages is 37 years. Find the age of the son. | 8 |

176 | State whether the given statement is true or false. If ( boldsymbol{p}^{1-2 x} times sqrt{boldsymbol{p}}=boldsymbol{q}^{1-2 x} times sqrt{boldsymbol{q}} ; boldsymbol{p} neq boldsymbol{q} ) then value of ( boldsymbol{x} ) is ( frac{mathbf{3}}{mathbf{4}} ) A. True B. False | 8 |

177 | 3 2 2 5 6 2. The speed of car is 54-km per hour. What is the distance travelled in 3 hours and 33 minutes A mother and her to doughtore got room on | 8 |

178 | Solve the given equation for ( y: ) ( frac{1-9 y}{19-3 y}=frac{5}{8} ) A ( -frac{66}{103} ) в. ( frac{38}{73} ) ( c cdot-frac{87}{57} ) D. None of these | 8 |

179 | The value of ( x ) is ( 3 x+4=13 ) A . 3 B. 4 c. 5 D. None of these | 8 |

180 | 2. = (x +10) | 8 |

181 | How much money does Trishika have? A . ( R s .125 ) B. Rs.110 c. ( R s .115 ) D. Rs.120 | 8 |

182 | 1. A man has a certain number of 5 rupee coins, 2- rupee coins, 1-rupee coins and 50 paise coins. The number of 5- rupee coins is 7 less than 2-rupee coins, the number of 1-rupee coins is 15 more than 5-rupee coins and the number of 50 paise coins is twice the number of 2-rupee coins. Ifa man has 198 in all, find the number of coins of each denomination. | 8 |

183 | Runs scored by Rahul in a match are 38 more than that faced by Virat. If together they have scored 144 runs and the runs scored by Rahul are 18 more than those faced by Virat. Find the number of runs scored by Rahul | 8 |

184 | 5. f3+x+639 – +x+ – 5 22 -125 462 7125, then x is then x is Ol= 6 (6) = | 8 |

185 | Solve: ( frac{boldsymbol{x}+mathbf{5}}{mathbf{5}}=mathbf{6} ) | 8 |

186 | 1. Solve for y: 431+1) – (5+2)=y-1 om | 8 |

187 | When ( x=2, ) the value of the expression ( 4 x^{2}+frac{9}{x^{2}}-12 ) is: A ( cdot frac{25}{4} ) в. ( frac{-4}{25} ) c. ( frac{4}{25} ) D. ( frac{-25}{4} ) | 8 |

188 | Set up an equation in the following cases: Irfan says that he has 7 marbles more than five times the marbles Pramit has. Irfan has 37 marbles. (Let ( m ) to be the number of Pramit’s marbles.) | 8 |

189 | Solve the following equation: ( 7 x-5=2 x ) | 8 |

190 | Solve : ( frac{x}{2}-frac{1}{5}=frac{x}{3}+frac{1}{4} ) | 8 |

191 | Solve: ( frac{1}{3}(x-2)+frac{1}{4}(x+3)=frac{1}{5} ) | 8 |

192 | value ok. The sum of two rational numbers is If one of the -k than the other, number is . Find the number is value of k. | 8 |

193 | Solve: ( frac{65}{12}-x=frac{33}{-4} ) | 8 |

194 | Solve the linear equation: ( mathbf{1 5}(boldsymbol{y}-mathbf{4})-mathbf{2}(boldsymbol{y}-mathbf{9})+mathbf{5}(boldsymbol{y}+mathbf{6})=mathbf{0} ) A ( y=frac{1}{7} ) B. ( y=frac{3}{5} ) c. ( y=frac{5}{2} ) D. ( y=frac{2}{3} ) | 8 |

195 | Solve ( frac{5}{6} x+frac{3}{8} x=2+frac{1}{3} x ) | 8 |

196 | Two numbers are in the ratio ( 3: 4 . ) If their LCM is 180 , find the numbers. | 8 |

197 | If ( y=f(x)=frac{x+2}{x-1}, ) than it is incorrect to say: A. ( x=frac{y+2}{y-1} ) B. ( f(0)=-2 ) c. ( f(1)=0 ) D. ( f(-2)=0 ) E . ( f(y)=x ) | 8 |

198 | The ratio of the mango trees and orange trees is ( 7: 9 . ) If 5 mango trees and 5 orange trees were planted in addition the ratio would be ( 27: 34 . ) Find the number of mango trees. | 8 |

199 | 4. Simplify the following linear equations, then solve them: 7y-2_3+ 7y (1) 5y-1 4+5y 11 – 2 a + 2 a +1 a +10 + cm) 0,*-5(0.2x – 3) =3* | 8 |

200 | The prices of table and chair are in the ratio of ( 25: 6 . ) If table costs Rs. 950 more than chair, then cost of two chairs is A . Rs. 300 B. Rs. 600 c. Rs. 900 D. Rs. 1200 | 8 |

201 | A man leaves a town at 8 a.m. on his bicycle moving at ( 10 mathrm{km} / mathrm{hr} ). Another man leaves the same town at 9 a.m. on his scooter moving at ( 30 mathrm{km} / mathrm{hr} . ) At what time does he overtake the man on the bicycle? A. 8.30 a.m. B. 9 a.m. c. 9.30 a.m. D. 10 am | 8 |

202 | If ( 4^{x}-4^{x-1}=24, ) then ( (2 x)^{x} ) equals A . 25 в. 125 ( c cdot sqrt{5} ) ( mathbf{D} cdot 25 sqrt{5} ) | 8 |

203 | .. Distance covered on foot = 7 km. 12. A motor boat covers a certain distance downstream in a river in five hours. It covers the same distance upstream in five as half hours. The speed of water is 1.5 km/hr. Find the speed of the boat in still water? Sol. Let speed of boat in still water = x km/hr and speed of water = 1.5 km/hr | 8 |

204 | A number is subtracted from ( 72 . ) The new number is divided by 6 to give 10 Find the number. | 8 |

205 | Oranges are to be transferred from larger boxes to smaller boxes. When a larger box is emptied, the oranges from it fill 3 smaller boxes and still 7 oranges are left. If the number of oranges in a small box are taken to be ( x ), then what is the number of oranges in the larger box | 8 |

206 | Write equations for the following statements: If you take away 6 from 6 times ( y, ) you ( operatorname{get} 60 ) | 8 |

207 | In a shooting competition a marksman receives 50 paise if he hits the mark and pays 20 paise if he misses it. He tried 60 shots and was paid Rs. 1.30 How many times did he hit the mark? A . 19 B. 22 ( c cdot 18 ) D. 21 | 8 |

208 | Check whether the values given in the brackets are the solutions of the corresponding equation: ( boldsymbol{x}+mathbf{5}=mathbf{1 9} ;(boldsymbol{x}=mathbf{4}) ) | 8 |

209 | Solve ( mathbf{5} boldsymbol{x}+frac{mathbf{2 7}}{mathbf{3}}=mathbf{0} ) | 8 |

210 | solve : ( frac{p}{3}+frac{p}{4}=55-frac{p+40}{5} ) | 8 |

211 | What number divided by two is equal to that same number minus ( 15 ? ) A . 30 B. 34 c. 15 D. 60 | 8 |

212 | When seventh part of a number is increased by 2 and fifth part of the same number is decreased by 4, they become equal. Find the number. | 8 |

213 | The solution of the equation ( 10-3 y=1 ) is ( y= ) A. 0 B. 1 ( c cdot 2 ) D. 3 | 8 |

214 | ( times frac{1}{10}=frac{1}{30} times frac{1}{40} ; ) the value of ( x ) is A ( cdot frac{1}{120} ) B. 400 c. 120 D. ( frac{1}{400} ) | 8 |

215 | Tanya’s grandfather was 8 times older to her 16 years ago. He would be 3 times of her age 8 years from now. Eight years ago, what was the ratio of tanya’s age to that of her grandfather? A .1: 2 B. 1: 5 c. 3: 8 D. 11: 53 | 8 |

216 | LOUICU UUELITOIMICOTICO In a college of 300 students every student reads 5 newspapers and every newspaper is read by 60 students. The number of newpapers is (1998 – 2 Marks) (a) at least 30 (b) at most 20 (c) exactly 25 (d) none of these | 8 |

217 | 13. A rational number is such that when you multiply it by and add to the product, you get – 5. What is the number? | 8 |

218 | 6. If the side of chess board is smaller than its perimeter by 24 cm, then find the side of the chess board. L e mich arestar than 112 as it is | 8 |

219 | ( ln frac{a}{8}+frac{a}{4}=6 ) the value of a is A. 122 B. -16 c. 16 D. | 8 |

220 | The ratio of ( j ) to ( k ) to ( l ) to ( m ) to ( p ) is 5 to 4 to 3 to 2 to ( 1 . ) If ( j=60, ) what is the value of ( m ? ) ( A cdot 8 ) B. 12 c. 24 D. 55 | 8 |

221 | 2 years back the age of Sushil’s father was 7 times Sushil’s age then. If the sum of their present age is 36 years, what is the age of Sushil’s father at present in years? A .28 B . 30 c. 40 D. None of these | 8 |

222 | ( frac{x-1}{2 x+1}+frac{2 x+1}{x-1}=frac{5}{2} ) | 8 |

223 | 62. 25 litres of salt solution con- tains 6% salt. How many li- tres of water must be added so as to get a resultant solution containing 5% salt ? (1) 4 litres (2) 5 litres (3) 6 litres (4) 8 litres | 8 |

224 | The solution of the equation ( 1.5 y- ) ( mathbf{7}=mathbf{0 . 5 y} ) is ( A cdot 7 ) в. -7 ( c .3 .5 ) D. – 3.5 | 8 |

225 | Here is an equation ( 2(x+12)=4 x-6 ) Solve the equation by first dividing both sides by 2 | 8 |

226 | A positive number is 5 times another number. If 21 added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers? | 8 |

227 | A number is added to ( 15 . ) The new number is multiplied by 3 to give 60 Find the number. | 8 |

228 | Solve the following equation. ( 2 x-frac{1}{3}=frac{1}{5}-x ) | 8 |

229 | Solve: ( frac{3(y-5)}{4}-4 y=3-frac{(y-3)}{2} ) | 8 |

230 | The solution of the equation 2x + 5 = 0 is | 8 |

231 | f ( 3 x+8=17 ) find the value of ( x ) | 8 |

232 | Solve: ( frac{1}{3(x-1)}-frac{1}{4(x-2)}=1 ) | 8 |

233 | Find the solution of the given equation: ( frac{[9 x-(3+4 x)]}{[2 x-(7-5 x)]}=frac{6}{7} ) | 8 |

234 | Solve ( frac{mathbf{3}}{mathbf{1 1}}+boldsymbol{x}=frac{mathbf{9}}{mathbf{1 1}} ) for the value of ( boldsymbol{x} ) | 8 |

235 | Solve the equation: ( mathbf{5} boldsymbol{x}+mathbf{2} frac{mathbf{3}}{mathbf{5}}=mathbf{9}-frac{mathbf{4}}{mathbf{5}} boldsymbol{x} ) | 8 |

236 | solve ( : boldsymbol{y}-frac{boldsymbol{y}}{mathbf{2}}=frac{mathbf{7}}{mathbf{4}}-frac{boldsymbol{y}}{boldsymbol{4}}-frac{boldsymbol{y}}{boldsymbol{4}} ) | 8 |

237 | 4. Solve the following: | 8 |

238 | Find the value of ( p: ) ( (p-3)(p+3)-p(p+8)=15 ) ( mathbf{A} cdot mathbf{3} ) B. -3 c. ( frac{-1}{3} ) D. | 8 |

239 | 10. Solve for x (1) 12 (3 – x) = 48 (ii) 2x + (x+1)+(x + 2)=103 | 8 |

240 | Solve each of the following equations and check your answers: ( boldsymbol{x}-mathbf{3}=mathbf{5} ) | 8 |

241 | The value of ( m ) for which the expressions ( 2 m-5 ) and ( 5 m-11 ) become equal is A . -2 B. 0 ( c cdot 2 ) D. – | 8 |

242 | 7. Find three even consecutive integers whose sum is 90. | 8 |

243 | Solve the following equation: ( frac{5}{2} x=frac{25}{4} ) | 8 |

244 | Given that ( 5 x-2(6+7 x)=15, ) the value of ( x ) is A ( cdot 1 frac{13}{14} ) B. ( 1 frac{8}{19} ) ( c cdot frac{1}{3} ) D. – 3 | 8 |

245 | Twice the number is 24 greater than its half. Find the number. | 8 |

246 | Find the zeroes of the polynomial ( frac{1}{7} x- ) ( frac{2}{7} ) | 8 |

247 | 2. Solve forx: 2+2x-3_3x+4 – 2x+3x+2 | 8 |

248 | Find the number, one third of which is 4 more than 5 A .27 B . 23 c. 25 D. 29 | 8 |

249 | Solve: ( frac{mathbf{3}}{boldsymbol{x}+mathbf{3}}=frac{mathbf{5}}{boldsymbol{x}+mathbf{2}} ) | 8 |

250 | n ( 6(2 a-1)+8=14 );the value of ‘ ( a ) ‘ is A . -1 в. ( _{3} frac{1}{12} ) c. ( _{1} frac{1}{12} ) D. +1 | 8 |

251 | If ( 12+frac{3 sqrt{x-5}}{2}=18, ) find the value of ( x ? ) A . 21 B . 20 ( c cdot 26 ) D. 18 | 8 |

252 | muy uuys UI Te Work 12. For what value of x is the perimeter of shape 77 cm? (x+1) (x + 1) (x+2) (2x + 1) (2x + 2) | 8 |

253 | If ( 5 x+6=10, ) what is the value of ( 10 x+3 ? ) ( A cdot 4 ) B. 9 ( c cdot 11 ) D. 20 | 8 |

254 | Solve the following linear equations. If ( x+7-frac{8 x}{3}=frac{17}{6}-frac{5 x}{2}, ) then ( x ) is equal to A . -5 B. – 1 ( c cdot 2 ) ( D ) | 8 |

255 | Jim has a triangular shelf system that attaches to his showerhead. The total height of the system is 18 inches, and there are three parallel shelves as shown above. What is the maximum height, in inches, of a shampoo bottle that can stand upright on the middle shelf? | 8 |

256 | Solve: ( 2.25 x-125=3 x+3.75 ) | 8 |

257 | Solve: ( boldsymbol{x}+mathbf{7}-frac{mathbf{8} boldsymbol{x}}{mathbf{3}}=frac{mathbf{1 7} boldsymbol{x}}{mathbf{6}}-frac{mathbf{5} boldsymbol{x}}{mathbf{8}} ) | 8 |

258 | Solve ( frac{3 a-2}{3}+frac{2 a+3}{2}=a+frac{7}{6} ) | 8 |

259 | Find the value of ( boldsymbol{x}: ) ( boldsymbol{x}-left[mathbf{2} boldsymbol{x}-frac{mathbf{3} boldsymbol{x}-mathbf{4}}{mathbf{7}}right]=frac{mathbf{4} boldsymbol{x}-mathbf{2 7}}{mathbf{3}}-mathbf{3} ) | 8 |

260 | Solve the following equation and check your answer. ( boldsymbol{x}+(boldsymbol{x}+mathbf{2})=(boldsymbol{x}+mathbf{4})+mathbf{3 1} ) | 8 |

261 | Solve ( -mathbf{7}(mathbf{2}+boldsymbol{x})=mathbf{8} mathbf{7} ) | 8 |

262 | Solve for ( boldsymbol{a}: boldsymbol{4} boldsymbol{a}-boldsymbol{9}>boldsymbol{9} boldsymbol{a}-boldsymbol{2} boldsymbol{4} ) ( mathbf{A} cdot a>3 ) B. ( a<3 ) c. ( a<-3 ) D. ( a<9 ) | 8 |

263 | Pradeep is a Section Chief for an electric utility company. The employees in his section cut down tall trees or climb poles. Pradeep recently reported the following information to the management of the utility Out of 100 employees in my section, 55 can cut tall trees, 50 can climb poles, 1 can do both, 6 can’t do any of the two. Is this information correct? | 8 |

264 | ( A ) earns ( 800 R s . ) more than ( B . ) They both save together ( 3,200 R s . ) which is one-fourth of ( boldsymbol{A}^{prime} ) s salary plus one-sixth of ( B^{prime} ) s salary. Find out their total monthly expenditure. A. Rs. 12,000 B. Rs. 15,000 c. Rs. 10,000 D. Rs. 17,000 | 8 |

265 | The sum of two numbers is ( 184 . ) If one- third of the one exceeds one-seventh of the other by ( 8, ) find the smaller number. | 8 |

266 | What is the number when it is increased by ( 10 % ) becomes ( 88 ? ) | 8 |

267 | Prove that: ( 2 m+7=9 ) | 8 |

268 | 72. A boat goes 12 km downstream and comes back to the starting point in 3 hours. If the speed of the current is 3 km/hr, then the speed (in km/hr) of the boat in still water is (1) 12 (2) 9 (3) 8 (4) 6 | 8 |

269 | If ( frac{a}{8}+frac{a}{4}=6, ) the value of ( a ) is A . 122 B. -16 c. 16 D. | 8 |

270 | ( frac{3 x-2}{5}=4-left(frac{x+2}{3}right), ) find ( x ) | 8 |

271 | Solve the following equation ( -4(2- ) ( boldsymbol{x})=mathbf{9} ) | 8 |

272 | Solve ( left|boldsymbol{x}+frac{1}{3}right|>frac{8}{3} ) | 8 |

273 | Two numbers are in the ratio ( 1 frac{1}{2}: 2 frac{2}{3} ) But if each number is increased by 15 then the ratio becomes ( 1 frac{2}{3}: 2 frac{1}{2} . ) The numbers are ( mathbf{A} cdot 27,42 ) B . 36,48 c. 27,48 D. 27,36 | 8 |

274 | 8. When seventh part of a number is increased by 2 and fifth part of the same number is decreased by 4, they become equal. Find the number. Solve the following ut: | 8 |

275 | 1. Solve the following equations: (i) *-5-1-3-23 5x+3 45 1 – 2 | 8 |

276 | Find ( f: ) ( mathbf{0 . 2 5}[mathbf{4 f}-mathbf{3}]=mathbf{0 . 0 5}[mathbf{1 0} boldsymbol{f}-mathbf{9}] ) | 8 |

277 | Dhoni scored twice as many runs as Sehwag. Together they scored two runs less than double century. How many runs did each of them score? | 8 |

278 | A cart is running at an average speed of ( 3.6 k m / h r . ) How much time will it take to go 380 metres? | 8 |

279 | Solve the following equation and check your results: ( 2 x-1=14-x ) | 8 |

280 | #NAME? | 8 |

281 | If the value of ( y ) is 3 then find value of ( x ) if ( frac{1}{x}+frac{1}{y}=frac{5}{6} ) | 8 |

282 | ( boldsymbol{x}+frac{mathbf{4}}{mathbf{3}}=mathbf{3} frac{mathbf{1}}{mathbf{2}} ) | 8 |

283 | f ( 2 x-1=14-x ), then ( x= ) ( mathbf{A} cdot mathbf{1} ) B . 2 c. 9 D. | 8 |

284 | Last week Raul worked 11 more hours than Angelica. If they worked a combined total of 59 hours, how many hours did Angelica work last week? A .24 B. 35 c. 40 D. 48 | 8 |

285 | At present Pooja is 21 years younger to her mother. 6 years from now, Pooja will be half her mother’s age then. How old is Pooja’s mother at present? A. 36 years B. 40 years c. 42 years D. 45 years | 8 |

286 | 17. 17 / 3 = 2 / then y = ? 17. then y = ? dicito T | 8 |

287 | 34 Mathematic 11. A boy covers a distance of 25 km in 4 hours partly on foot at the rate of 3.5 km/hr and partly on cycle at 9 km/hr. Find th distance covered on foot. Sol at the distance covered on foot he x km. | 8 |

288 | 6. What number should be added to get 11 30 (a) zo | 8 |

289 | If ( x % ) of 200 is ( 10, ) then the value of ( x ) is A . 10 B. 2 ( c .5 ) D. none of the above. | 8 |

290 | The total salary drawn by 3 watchmen, A, B and C is Rs. 1720. They spend 70%, ( 60 % ) and ( 50 % ) respectively from their salaries. If the balance with them are into Ratio ( 1: 2: 3, ) what is the salary of each? A. A Rs. 300; B Rs. 500; C- Rs. 700 B. A Rs. 200; B Rs. 300; C-Rs. 650 c. A Rs. 100; B Rs. 300; C-Rs. 600 D. A Rs. 400; B Rs. 600; C- Rs. 720 | 8 |

291 | If ( 9-7 x=5-3 x, ) then the value of ( x ) is A . 0 B. ( frac{1}{4} ) ( c cdot frac{1}{2} ) D. | 8 |

292 | Solve: ( frac{1}{5}left(frac{1}{3 x}-5right)=frac{1}{3}left(3-frac{1}{x}right) ) | 8 |

293 | Find the value of ( s: ) ( s(3 s-7)-3 s(s-8)=9 ) A ( cdot frac{17}{9} ) в. ( frac{9}{17} ) ( c cdot frac{-9}{17} ) D. ( frac{-17}{9} ) | 8 |

294 | 8. Find a number whose fifth part increased by 30 is equal to its fourth part decreased by 30. | 8 |

295 | A purse has only one rupee and two rupee coins in it. The number of two rupee coins is one third the number of one rupee coins. If the purse has Rs. 115. Find the number of two rupee coins. A . 20 B . 23 c. 18 D. 25 | 8 |

296 | ( A B ) is a segment. The point ( P ) is on the perpendicular bisector of segment AB such that length of AP exceeds length of AB by ( 7 mathrm{cm} . ) If the perimeter of ( Delta A B P ) is ( 38 mathrm{cm} . ) Find the sides of ( Delta A B P ) ( mathbf{A} .5 mathrm{cm}, 12 mathrm{cm} ) and ( 19 mathrm{cm} ) B. ( 8 mathrm{cm}, 15 mathrm{cm} ) and ( 15 mathrm{cm} ) c. ( 2 mathrm{cm}, 17 mathrm{cm} ) and ( 11 mathrm{cm} ) D. ( 6 mathrm{cm}, 14 mathrm{cm} ) and ( 18 mathrm{cm} ) | 8 |

297 | 5. If 5 less than a number is 72 then the number is 2n-1) | 8 |

298 | Find two consecutive natural numbers whose sum is 63 A. 31 and 36 B. 30 and 32 c. 31 and 32 D. 54 and 32 | 8 |

299 | 4. – 18 The root of equation – 2z-3 3z–2 (a) – 7/2 (b) 7/2 (c) 3/2 (d) -3/2 or het | 8 |

300 | A lending library has a fixed charge for first 3 days and an additional charges for each day there after. Sarika paid Rs. 27 for a book kept for 7 days while Sonali paid Rs.21 for the book she kept for 5 days. find the fixed charge and the additional charge per day. | 8 |

301 | 58. The simplified form of 1 1 ax x+a+x+bx+c * x3 + ax2 | 8 |

302 | Shobos mothers present age is six times Shobos present age. Shobos age five years from now will be one third of his mothers present age. What are their resent ages? A. Shobos age: 5 years; Shobos mothers age: 30 years B. Shobos age: 4 years; Shobos mothers age: 24 years c. Shobos age: 10 years; shobos mothers age: 60 years D. Shobos age: 1 years; shobos mothers age: 6 years | 8 |

303 | 7. Solution of 0.18(5x-4)=0.5x +0.8 is quotion intol A | 8 |

304 | The solution of ( frac{x-5}{2}-frac{x-3}{5}=frac{1}{2} ) is ( mathbf{A} cdot x=7 ) B. ( x=9 ) c. ( x=8 ) D. ( x=5 ) | 8 |

305 | 3. Solve for y: }(32+1) -(52+2)=y-1 | 8 |

306 | 1. 8x +4=3 (x-1)+7 | 8 |

307 | Radha takes some flowers in a basket and visit three temples one by one. At each temple, she offers one half of the flowers from the basket. If she is left with 3 flowers at the end, find the number of flowers she had in the beginning. | 8 |

308 | Check wheather the equality of the equation in maintained or not, by putting the value of the given variable written next to the equation below. ( 4 y-3=17 ) if ( y=2 ) A. True B. False | 8 |

309 | 14. Find the number ifone-fourth of which is 8 more than 5. | 8 |

310 | Solve: ( 3 n+7=1 ) | 8 |

311 | If ( a=-6 ) and ( b=7, ) then ( 4 a(3 b+5)+ ) ( mathbf{2 b}=mathbf{?} ) A . 638 в. 624 ( c .610 ) D. -610 E . -638 | 8 |

312 | Solve the following equation: ( 3^{x-1} times ) ( mathbf{5}^{2 y-3}=225 ) A ( cdot x=3, y=frac{5}{2} ) в. ( _{x}=-3, y=frac{5}{2} ) c. ( _{x}=3, y=frac{-5}{2} ) D. None of the above | 8 |

313 | individually! 14. On a winter day the temperature at a place in Himachal Pradesh was -16° C. Convert it in degree Fahrenheit (°F) by using the formula. – F-32 Shnini has to cut out circler of die | 8 |

314 | In a particular week the average number of people visited the museum is ( 70 . ) If we exclude the holidays then the average number is increased by 28 Further if we exclude the day which the maximum of 210 visitors visited the museum, then the average become 40 Find the no of holidays in the week | 8 |

315 | 3. X-4 2x-3 5x-32 X +9 Solve, 3 + 35 = 9 – 28 11 | 8 |

316 | Find the value of ( x ). ( sqrt{mathbf{3}} boldsymbol{x}-mathbf{2}=mathbf{2} sqrt{mathbf{3}}+mathbf{4} ) ( mathbf{A} cdot x=2(1+sqrt{3}) ) в. ( x=(1+2 sqrt{3} ) c. ( x=3(2+sqrt{2}) ) D. ( x=-2(3+sqrt{3}) ) | 8 |

317 | Find the first three terms in the expansion of : ( frac{1}{(1+x)^{2} sqrt{1+4 x}} ) | 8 |

318 | 6. 13500 are to be distributed among Salma, Kiran and Jenifer in such a way that Salma gets 1000 more than Kiran and Jenifer gets *500 more than Kiran. Find the money received by Jenifer. | 8 |

319 | Value of ( n ) that satisfies the equation ( frac{7}{8}(n-6)=frac{21}{2} ) is A . 28 B. 18 c. 14 D. 22 | 8 |

320 | 1. =0, then x = If + 1 x+1 x+4 (a) 21 (6) – 2 / 2 (c) 3 2 (d) – 3 | 8 |

321 | Find the value: 1. ( 7 x-5=2 x ) 2. ( 5 x-12=2 x-6 ) 3. ( 7 p-3=3 p+8 ) | 8 |

322 | A can do a piece of work in 10 days, and B can do the same work in 20 days. With the help of ( C ), they finished the work in 4 days. ( C ) can do the work in how many days, working alone? | 8 |

323 | 3. If two-thirds of a number is greater than one-fourth of the number by 5, find the number. A man left one fourth ofhis money to his wife two fifth to | 8 |

324 | Solve for ( x: frac{1}{3}=frac{sqrt{x}}{2} ) A ( cdot frac{7}{9} ) в. ( frac{5}{9} ) ( c cdot frac{4}{9} ) D. ( frac{2}{9} ) | 8 |

325 | 0. 0.0 15 8. An equation involving only a linear equation. variable is called | 8 |

326 | Solve the linear equation: ( boldsymbol{m}+mathbf{1 0}=mathbf{1 6} ) | 8 |

327 | 6. Solution of the equation – 3(p-1)-2 is 10 | 8 |

328 | 2. Solve the equation: + 2t3t_5+ 11ta to more 002 3 4 6 12 –+—– — + – +4 | 8 |

329 | 2. If 5x = 5, then x = | 8 |

330 | Solve ( frac{x}{5}=12 ) for the value of ( x ) | 8 |

331 | 3(x – 5)_2 13. Solve | 8 |

332 | Pipe M and N running together can fill a cistern in 6 minutes. If ( mathrm{M} ) takes 5 minutes less than ( mathrm{N} ) to fill the cistern, then the time in which ( mathrm{N} ) alone can fill the cistern will be A . 15 min B. 20 min ( c .25 ) min D. 10 min | 8 |

333 | 9. 0.25(4f – 3) = 0.05(10f-9) | 8 |

334 | Find a positive value of ( x ) for which the given equation is satisfied: ( frac{y^{2}+4}{3 y^{2}+7}=frac{1}{2} ) | 8 |

335 | Solve: ( frac{x}{2}-frac{x}{3}-1=4 ) | 8 |

336 | Solve ( : 3 x+11=6 x-13 ) | 8 |

337 | 5. 4(3p+2) – 5(6p-1)=2(p – 8)–6(7p-4) F1 | 8 |

338 | If ( boldsymbol{m}=mathbf{2}(mathbf{1 5}-mathbf{4} boldsymbol{x}), boldsymbol{n}=frac{mathbf{5} boldsymbol{x}+mathbf{3}}{mathbf{2}} ) and ( boldsymbol{m}: boldsymbol{n}=boldsymbol{2}: boldsymbol{3} ; ) find ( boldsymbol{n} ) ( mathbf{A} cdot n=2 ) В . ( n=7 ) c. ( n=9 ) D. ( n=12 ) | 8 |

339 | If ( 0.6 x+0.8=0.28 x+1.16, ) then ( x= ) A ( cdot x=frac{6}{7} ) в. ( x=frac{9}{8} ) c. ( x=frac{11}{2} ) D. ( x=frac{13}{5} ) | 8 |

340 | 2d+7 9. Find the value of difs- -=0 is | 8 |

341 | ( frac{boldsymbol{x}+boldsymbol{4}}{boldsymbol{2}}+frac{boldsymbol{x}-boldsymbol{3}}{boldsymbol{3}}=frac{boldsymbol{x}+boldsymbol{2}}{boldsymbol{4}}+frac{boldsymbol{x}+boldsymbol{3}}{boldsymbol{5}}, ) find the value of ( x ) | 8 |

342 | Solve: ( 6 x-1=2 x+9 ) A ( cdot 1 frac{1}{2} ) в. ( -2 frac{1}{2} ) c. ( frac{4}{10} ) D. ( _{2} frac{1}{2} ) | 8 |

343 | ( 3 x-1=9-2 x ) | 8 |

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